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๐ŸŸข MajumdarGhosh/GroundStateEnergyDensity/PBC

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run โ€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: MajumdarGhosh1969
  • Size-independent: dimer-product state is an exact eigenstate for any even N.

Corroboration

regimemechanismindependencerefsfile
@dimered_finite_size๐ŸŸข structural"Exact MG dimer GS of the J1-J2 ring at J2=J/2 " * "(even N), e0 = -3J/8 size-independent"test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_ed_pbc.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl
@dimersecond_closed_form๐ŸŸข structuralMajumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)test/models/quantum/Heisenberg/test_majumdar_ghosh_verify_lit.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(MajumdarGhosh(; J = 1.0), GroundStateEnergyDensity(), PBC(8); route = :ed_finite_size, independent = [mg_pbc_e0(N, 1.0) for N = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12))], at = ["N=$(N)" for N = verify_profile_Ns(; fast = (6, 8), full = (6, 8, 10, 12), nightly = (6, 8, 10, 12))], agree_within = 1.0e-12, refs = ["Exact MG dimer GS of the J1-J2 ring at J2=J/2 " * "(even N), e0 = -3J/8 size-independent"])
verify(MajumdarGhosh(; 0.5 = 0.5), GroundStateEnergyDensity(), PBC(6); route = :second_closed_form, independent = (-3 * 0.5) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 1.0 = 1.0), GroundStateEnergyDensity(), PBC(6); route = :second_closed_form, independent = (-3 * 1.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 2.0 = 2.0), GroundStateEnergyDensity(), PBC(6); route = :second_closed_form, independent = (-3 * 2.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 0.5 = 0.5), GroundStateEnergyDensity(), PBC(8); route = :second_closed_form, independent = (-3 * 0.5) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 1.0 = 1.0), GroundStateEnergyDensity(), PBC(8); route = :second_closed_form, independent = (-3 * 1.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 2.0 = 2.0), GroundStateEnergyDensity(), PBC(8); route = :second_closed_form, independent = (-3 * 2.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 0.5 = 0.5), GroundStateEnergyDensity(), PBC(10); route = :second_closed_form, independent = (-3 * 0.5) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 1.0 = 1.0), GroundStateEnergyDensity(), PBC(10); route = :second_closed_form, independent = (-3 * 1.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 2.0 = 2.0), GroundStateEnergyDensity(), PBC(10); route = :second_closed_form, independent = (-3 * 2.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 0.5 = 0.5), GroundStateEnergyDensity(), PBC(12); route = :second_closed_form, independent = (-3 * 0.5) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 1.0 = 1.0), GroundStateEnergyDensity(), PBC(12); route = :second_closed_form, independent = (-3 * 1.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])
verify(MajumdarGhosh(; 2.0 = 2.0), GroundStateEnergyDensity(), PBC(12); route = :second_closed_form, independent = (-3 * 2.0) / 8, agree_within = 1.0e-14, refs = ["Majumdar-Ghosh 1969: dimer GS exact for any even N, e0 = -3J/8 (BC- and size-independent)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 13 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: MajumdarGhosh ยท Quantity: GroundStateEnergyDensity ยท Atlas index